Cod sursa(job #2302676)

Utilizator SemetgTemes George Semetg Data 14 decembrie 2018 23:58:37
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.68 kb
#include <fstream>
#define N_MAX 505
using namespace std;

ifstream in("podm.in");
ofstream out("podm.out");

int N;
int64_t d[N_MAX];
int64_t dp[N_MAX][N_MAX];

int main() {
    in >> N;
    for (int i { 0 }; i <= N; ++i)
        in >> d[i];
    
    for (int i { 1 }; i < N; ++i)
        dp[i][i + 1] = d[i - 1] * d[i] * d[i + 1];
    
    for (int next { 2 }; next < N; ++next)
        for (int i { 1 }; i + next <= N; ++i) {
            int j { i + next };
            dp[i][j] = 1LL << 62;
            
            for (int mij { i }; mij < i + next; ++mij)
                dp[i][j] = min(dp[i][j], dp[i][mij] + dp[mij + 1][j] + d[i - 1] * d[mij] * d[j]);
        }
    
    out << dp[1][N];
}